Chapter 24: The Hyperfactorization Theorem

This chapter proves the Hyperfactorization Theorem, the first hinge theorem of the Panta Rhei series. The proof assembles the three critical ingredients: tetration injectivity (Proposition [prop:tetration-injective], the relevant chapter), no-tie determinism (Lemma [lem:no-tie], the relevant chapter), and strict remainder descent (Lemma [lem:remainder-descent], the relevant chapter). The theorem states that every X ∈ τ-Idx with X ≥ 2 has a unique ABCD encoding. The consequence is immediate and profound: the ABCD chart Φ is injective, shadow equality collapses to ontic identity, and every object of Category τ has exactly one canonical address.